LATTICE BOLTZMANN SIMULATION OF GASEOUS FINITE-KNUDSEN MICROFLOWS

Zhi-Wei Tian (), Sheng Chen and Chu-Guang Zheng
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Zhi-Wei Tian: Faculty of Earth Resources, China University of Geosciences, Wuhan 430074, China
Sheng Chen: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China
Chu-Guang Zheng: State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 06, 769-783

Abstract: In this study, microscale gaseous flows in the transitional regime have been investigated by lattice Boltzmann method (LBM). In the existing microflows LBM models, the Knudsen layer correction function has been introduced into the models. According to the kinetic theory rigorously, we choose a proper expression of correction function, and then determine its adjustable parameter. A substitute high-order boundary conditions treatment is adopted to capture the velocity slip, without any difficulties in computing the high-order velocity derivatives. The numerical results of two typical microflows show that: the present results agree with the analytical solutions better than the existing LBM simulations. Evident improvements can also be found, especially for finite Kn microflows.

Keywords: Lattice Boltzmann method; gas microflows; transitional region; Knudsen layer (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0129183110015464

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